Power of a Sphere...

Consider a uniformly charged thin spherical shell of radius $R$ carrying a uniform surface charge density $\sigma$ . It is made of two hemispherical shells held together by pressing with a force $F$ as shown in the figure.

Given $F \propto \epsilon_{0}^{x} \sigma^y R^z$

If $p$ is the proportionality constant, then find the value of $x+y+z+\lfloor p \rfloor$

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Note that $\lfloor\cdot\rfloor$ denotes the Greatest Integer Function .